If u = e3x. du = 2 cos 2x dx then du = 3e* dx, v = sin 2x. Select one: True O False

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A: Topic = Algebra

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A: Let's find. 

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A: since you have posted multiple question in this question which are not interlinked so i have solved ...

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Q: Which of the following integrals represents the area of the surface obtained by rotating the curve y...

A: The curve y=lnx, 1≤x≤3, rotating about x-axis

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A: Given query is to find the indicated derivative.

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Q: Find a differential equation whose general solution is -4t y = cjet + cze¬4.

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Q: Question 7 Find the volume generated if the region enclosed by y = x? and the line y = 2x is revolve...

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Q: 1. f(x) 16x? – 4x +5 %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Given that x2 -y² = 9, then dy/dx = %3D

A: Topic = Derivative

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A: If limntends to ♾️ an not tends to zero then series is not convergent.  Here an is nth partial sum o...

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Q: 7 - 7 cos (x) + 3x? Evaluate the limit: lim 10x2 Answer: Submit Answer

A: Please see the solution below.

Q: 9 y = Arctan(+x, 1- 2x

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Q: Question Find an algebraic expression equal to csc(cot (4x)). (You may assume that - < cot-" (4x) < ...

A: First we let cot-1 (4x) =thetha Then we using csc2 x=1+cot2 x

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Q: Question 3 If lim an = 0, then the series a, is convergent. n=1 True False

A: Note: According to our expert guidelines only first individual question is to be answered kindly rep...

Q: INTEGRATE THE FOLLOWING (use integration techniques) -2y dy 2. Sy'e-24 dy

A: topic- indefinite integral

Q: B Graph the follo wing y, = 2sec2x %3D Yz = 1-25in (x+ ) Y3=2 cotx

A: We know, sin(x+π/2)= cosx Given functions, y1 = 2sec2x y2= 1-2sin(x+π/2) y3= 2cotx

Q: A- Graph the following functions and determine (domain, range) (1) y= sin/x/ (2) y= /x - 2/

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

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A: The objective is to find how many times the wheel will rotate in the eighth minute.

Q: For the function, find any horizontal and vertical asymptotes. (Enter your answers as a comma-separa...

A: Follow the procedure given below.

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Q: Find the differential equation for the family of: 1. Cav.. HAIS 2. 3. Curves cy? = x²(x - a) in whic...

A: Differentiate given curve with respect to x.  And eliminate a. 

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A: We have to find ∫410f(x)dx  

Q: Solve the differential equation by using integrating factors. (x + 2)y' = 6x + y y(x) =

A: Here, the given DE is: (x+2)y'=6x+y⇒y'=6x+yx+2⇒y'=6xx+2+yx+2⇒dydx-yx+2=6xx+2 which is a linear DE wi...

Q: :6. Bet“ dt.

A: (6). Given: I=∫t3et4dt   ...1   We know that; ∫eax+bdx=1aeax+b+C   Note; As per Bartleby guidelines ...

Q: Find any horizontal and vertical asymptotes for the function. (Enter your answers as a comma-separat...

A: Given y=x+1x2-16 We have to find horizontal and vertical asymptotes.

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Q: c) lim d) lim x→0 tan 3x Зх -5

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Q: The arc length along the parabola y = x² from (1,1) to (2,4) is given by which of the following inte...

A: Let's find. 

Q: EXERCISE Find the slope and the equation of the tangent line to the following functions at the given...

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Q: 1 1.1 18 6 2. Find the sum of the first 5 terms of the geometric series +

A: topic - sum of geometric progression

Q: f(x)=5sin(x)cos(x)on(−π,π)f(x)=5sin(x)cos(x)on(−π,π) a) Find the critical numbers of ff.  (Separate ...

A: Solution is written in below steps.

Q: Find the derivatives of the following functions: 1. y = 2x3 + 6x 2. y = 7x* - 3x? 3. y = (3x +1)(2x ...

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Q: Derivative of T Determine the derivative of 1. y = 100 cos 3x 2. y = 5 tan (6x - 1) 3. y = 12 cot (-...

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Q: What is the integrating factor for the differential equation?

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Q: Consider a utility maximizing consumer who generates utility according to the following 1 utility fu...

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Q: 3 2 y X-3x-x t3 From X = -1 to X= 8

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Q: Use the Laws of Logarithms to expand the expression. 5 log2 9t2

A: Apply log rule:  logaxy=logax - logay

Q: The cost of producingx units is given by C(x) = 32000 + 1.7x + 20x dollars. Find the value of x that...

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